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An empirical discriminant method applied to sedimentary-rock classification from major-element geochemistry

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Abstract

Classification of sandstones, greywackes, pelites, limestones, dolomites, and acid-igneous and basicigneous rocks, using a literature sample of 183 post-1920 analyses for the 11 major oxides has achieved an 80-percent success rate. The method is based on nonparametric estimation of a probability density function for each category to be classified, using the Bayes decision rule. The method is suitable for use with small training sets and gives much improved results over a linear discriminant function. Classification following data compression using principal components also has given satisfactory recognition rates.

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References

  • Chien, Y. T., and Fu, K. S., 1968, Selection and ordering of feature observations in a pattern recognition system: Information and Control, v. 12, p. 394–414.

    Google Scholar 

  • Favella, L. F., Reineri, M. T., and Righini, G. U., 1969, On a mathematical procedure for detecting significant parameters in the classification of a statistical ensemble of phenomena and its applications: Kybernetik, Bd. 5, Heft 5, p. 187–194.

    Google Scholar 

  • Fu, K. S., 1968, Sequential methods in pattern recognition and machine learning: Academic Press, London, 227 p.

    Google Scholar 

  • LARS, 1968, Remote multispectral sensing in agriculture: Laboratory for Agricultural Remote Sensing, Purdue University, Lafayette, Ind., Ann. Rept. v. 3, 175 p.

  • Lawley, D. N., and Maxwell, A. E., 1963, Factor analysis as a statistical method: Butterworths, London, 117 p.

    Google Scholar 

  • Nagy, G., 1968, State of the art in pattern recognition: Proc. IEEE, v. 56, p. 836–862.

    Google Scholar 

  • Specht, D. F., 1967a, Generation of polynomial discriminant functions for pattern recognition: IEEE Trans. Electr. Computers, v. 16, p. 308–319.

    Google Scholar 

  • Specht, D. F., 1967b. Vectorcardiographic diagnosis using the polynomial discriminant method of pattern recognition: IEEE Trans. Bio-med. Eng., v. 14, p. 90–95.

    Google Scholar 

  • Watanabe, S., 1965, Karhunen-Loève expansion and factor analysis, theoretical remarks and applications: Proc. 4th Conf. Inform. Theory, Prague, p. 635–660.

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Howarth, R.J. An empirical discriminant method applied to sedimentary-rock classification from major-element geochemistry. Mathematical Geology 3, 51–60 (1971). https://doi.org/10.1007/BF02047432

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  • DOI: https://doi.org/10.1007/BF02047432

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